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Powers of Ten (Posted on 2015-07-14) Difficulty: 3 of 5
Does the arithmetic sequence 1, 2188, 4375, 6562, ...... contain infinitely many powers of 10?
Give reasons for your answer.

No Solution Yet Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

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re: Pwerful answer (spoiler) | Comment 4 of 7 |
(In reply to Pwerful answer (spoiler) by Steve Herman)

"There is nothing magic about 2187 or 10 for that matter.  For any k and s, the arithmetic series 1, 1+k, 1+2k, ... contains infinitely many powers of s for any positive integers k and s."


Don't k and s have to be relatively prime?

  Posted by Charlie on 2015-07-14 16:14:00
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